On Hardy-Poincaré Inequalities
Ozawa T. Suragan D.
2025Springer
Journal of Mathematical Sciences (United States)
2025
We discuss simple and short proofs of identities that give the classical Poincaré and Hardy inequalities with sharp constants. These equalities directly imply characterization of nontrivial optimizers for the corresponding inequalities. Our proofs are independent of the polar coordinates in the integral and geometry of the domain.
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Waseda University, 1-chome-104, Totsukamachi, Tokyo, Shinjuku City, 169-8555, Japan
Nazarbayev University, 53, Kabanbay Batyr Av, Astana, 010000, Kazakhstan
Waseda University
Nazarbayev University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026